7 citations · 14 across the 9 of their papers we have counts for
9 papers
Extreme value theorem for geodesic flow on the quotient of the theta group
Jaelin Kim, Seul Bee Lee, Seonhee Lim
We establish an extreme value theorem for the geodesic flow on the hyperbolic surface associated with the theta group . To capture excursions int…
The Brjuno and Wilton Functions
Claire Burrin, Seul Bee Lee, Stefano Marmi
The Brjuno and Wilton functions bear a striking resemblance, despite their very different origins; while the Brjuno function is a fundamental tool in one-dimensional holomor…
Diophantine approximation by rational numbers of certain parity types
Dong Han Kim, Seul Bee Lee, Lingmin Liao
For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the pa…
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation
Seul Bee Lee, Stefano Marmi, Tanja I. Schindler
We give an explicit arithmetical condition which guarantees the existence of the unstable manifold of the MacKay approximate renormalisation scheme for the breakup of invariant tor…
The Brjuno functions of the by-excess, odd, even and odd-odd continued fractions and their regularity properties
Seul Bee Lee, Stefano Marmi
The Brjuno function was introduced by Yoccoz to study the linearizability of holomorphic germs and other one-dimensional small divisor problems. The Brjuno functions associated wit…
Regularity properties of -Brjuno and Wilton functions
Seul Bee Lee, Stefano Marmi, Izabela Petrykiewicz +1
We study functions related to the classical Brjuno function, namely -Brjuno functions and the Wilton function. Both appear in the study of boundary regularity properties of (qua…
On the Lévy constants of Sturmian continued fractions
Yann Bugeaud, Dong Han Kim, Seul Bee Lee
The Lévy constant of an irrational real number is defined by the exponential growth rate of the sequence of denominators of the principal convergents in its continued fraction expa…
Odd-odd continued fraction algorithm
Dong Han Kim, Seul Bee Lee, Lingmin Liao
By using a jump transformation associated to the Romik map, we define a new continued fraction algorithm called odd-odd continued fraction, whose principal convergents are rational…
Quasi-Sturmian colorings on regular trees
Dong Han Kim, Seul Bee Lee, Seonhee Lim +1
Quasi-Sturmian words, which are infinite words with factor complexity eventually share many properties with Sturmian words. In this paper, we study the quasi-Sturmian colorin…